0.15-3.9=0.5(x-5)x

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Solution for 0.15-3.9=0.5(x-5)x equation: 


Simplifying
0.15 + -3.9 = 0.5(x + -5) * x

Combine like terms: 0.15 + -3.9 = -3.75
-3.75 = 0.5(x + -5) * x

Reorder the terms:
-3.75 = 0.5(-5 + x) * x

Reorder the terms for easier multiplication:
-3.75 = 0.5x(-5 + x)
-3.75 = (-5 * 0.5x + x * 0.5x)
-3.75 = (-2.5x + 0.5x2)

Solving
-3.75 = -2.5x + 0.5x2

Solving for variable 'x'.

Reorder the terms:
-3.75 + 2.5x + -0.5x2 = -2.5x + 2.5x + 0.5x2 + -0.5x2

Combine like terms: -2.5x + 2.5x = 0.0
-3.75 + 2.5x + -0.5x2 = 0.0 + 0.5x2 + -0.5x2
-3.75 + 2.5x + -0.5x2 = 0.5x2 + -0.5x2

Combine like terms: 0.5x2 + -0.5x2 = 0.0
-3.75 + 2.5x + -0.5x2 = 0.0

Begin completing the square.  Divide all terms by
-0.5 the coefficient of the squared term: 

Divide each side by '-0.5'.
7.5 + -5x + x2 = 0

Move the constant term to the right:

Add '-7.5' to each side of the equation.
7.5 + -5x + -7.5 + x2 = 0 + -7.5

Reorder the terms:
7.5 + -7.5 + -5x + x2 = 0 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + -5x + x2 = 0 + -7.5
-5x + x2 = 0 + -7.5

Combine like terms: 0 + -7.5 = -7.5
-5x + x2 = -7.5

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = -7.5 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -7.5 + 6.25

Combine like terms: -7.5 + 6.25 = -1.25
6.25 + -5x + x2 = -1.25

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = -1.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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